Skip to main content

Some Basics of Unilateral Dynamics

  • Conference paper

Part of the book series: Solid Mechanics and its Applications ((SMIA,volume 72))

Abstract

In this Proceedings volume various situations are met in which the dynamical motion of collections of bodies subject to unilateral constraints of non-interpenetrability has to be calculated.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. M. Anitescu, F. A. Potra and D. E. Stewart (1998) Time-stepping for three-dimensional rigid body dynamics, in J. A. C. Martins and A. Klarbring (eds.), Computational Modeling of Contact and Friction, special issue of Computer Meth. in Appl. Mech. and Engng., to appear.

    Google Scholar 

  2. D. Baraff (1994) Fast contact force computation for non-penetrating rigid bodies, Computer Graphics (Proc. SIGGRAPH), 28, 23–34.

    Google Scholar 

  3. P. A. Cundall (1971) A computer model for simulating progressive large scale movements of blocky rock ystems, Proceedings of the Symposium of the International Society of Rock Mechanics, Nancy, France, Vol. 1, 132–150.

    Google Scholar 

  4. E. Delassus (1917) Mémoire sur la théorie des liaisons finies unilatérales, Ann. Sci. Ecole Norm. Sup., 34, 95–179.

    MathSciNet  MATH  Google Scholar 

  5. G. de Saxcé and Z. Q. Feng (1991) New inequation and functional for contact with friction, J. Mech. of Struct. and Machines, 19, 301–325.

    Article  Google Scholar 

  6. P. Lötstedt (1982) Mechanical systems of rigid bodies subject to unilateral constraints, SIAM J. Appl. Math., 42, 281–296.

    Article  MathSciNet  MATH  Google Scholar 

  7. M. D. P. Monteiro Marques (1993) Differential Inclusions in Nonsmooth Mechanical Problems: Shocks and Dry Friction, Birkhäuser, Basel, Boston, Berlin.

    MATH  Google Scholar 

  8. J. J. Moreau (1963) Les liaisons unilatérales et le principe de Gauss, Comptes Rendus Acad. Sci. Paris, 256, 871–874.

    MathSciNet  Google Scholar 

  9. J. J. Moreau (1966) Quadratic programming in mechanics: dynamics of one-sided constraints, SIAM J. Control, 4, 153–158.

    Article  MathSciNet  Google Scholar 

  10. J. J. Moreau (1985) Standard inelastic shocks and the dynamics of unilateral constraints, in G. Del Piero and F. Maceri (eds.), Unilateral Problems in Structural Analysis, CISM Courses and Lectures, Vol. 288, Springer-Verlag, Wien, New York, 173–221.

    Google Scholar 

  11. J. J. Moreau (1988) Unilateral contact and dry friction in finite freedom dynamics, in J. J. Moreau and P. D. Panagiotopoulos (eds.), Nonsmooth Mechanics and Applications, CISM Courses and Lectures, Vol. 302, Springer-Verlag, Wien, New York, 1–82.

    Google Scholar 

  12. J. J. Moreau (1997) Numerical investigation of shear zones in granular materials, in P. Grassberger and D. Wolf (eds.) Proc. HLRZ-Workshop on Friction, Arching, Contact Dynamics, World Scientific, Singapore, 233–247.

    Google Scholar 

  13. J. J. Moreau (1998) Numerical aspects of the sweeping process, in J. A. C. Martins and A. Klarbring (eds.), Computational Modeling of Contact and Friction, special issue of Computer Meth. in Appl. Mech. and Engng., to appear.

    Google Scholar 

  14. L. Paoli and M. Schatzman (1993) Mouvements à un nombre fini de degrés de liberté avec contraintes unilatérales: cas avec perte d’énergie, Math. Modelling and Num. Anal., 27, 673–717.

    MathSciNet  MATH  Google Scholar 

  15. F. Pfeiffer and C. Glocker (1996) Multibody Dynamics with Unilateral Contacts, John Wiley and Sons, New York.

    Book  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer Science+Business Media Dordrecht

About this paper

Cite this paper

Moreau, J.J. (1999). Some Basics of Unilateral Dynamics. In: Pfeiffer, F., Glocker, C. (eds) IUTAM Symposium on Unilateral Multibody Contacts. Solid Mechanics and its Applications, vol 72. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4275-5_1

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-4275-5_1

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5853-7

  • Online ISBN: 978-94-011-4275-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics